regularizing-decay rate estmates for solutions to the Navier-Stokes initial value problem
説明
It is known that an Ln-valued continuous solution in time interval (0, T) of the Kavier-Stokes equations in Rn is regular for positive time. In this paper regularizing rate estimates similar to a solution of the heat equation arc established. The estimates also provide analyticity in space variables as well as decay estimates on derivatives for large time. The solutions need not be small. Our results are obtained by estimating the integral equation with a new version of the Gronwall type inequality originally obtained in [2].
収録刊行物
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- Hokkaido University Preprint Series in Mathematics
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Hokkaido University Preprint Series in Mathematics 567 2-12, 2002-11
Department of Mathematics, Hokkaido University
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詳細情報 詳細情報について
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- CRID
- 1390009224795263616
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- NII論文ID
- 120006456868
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- DOI
- 10.14943/83712
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- HANDLE
- 2115/69316
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- 本文言語コード
- en
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- JaLC
- IRDB
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用可